

Presentasi Tanpa Judul
Presentation
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
Putri 5_28
FREE Resource
33 Slides • 29 Questions
1
2
Multiple Choice
What is the topic of the lesson presented in the image?
Linear Equations
Quadratic Equations
Polynomial Functions
Exponential Functions
3
4
Multiple Select
What are the methods to solve a quadratic equation?
Factoring
Completing the square
Using the formula
All of the above
5
Multiple Choice
What is the general form of a quadratic equation?
ax^2 + bx + c = 0
ax + b = 0
x^2 + c = 0
a + b + c = 0
6
7
Multiple Choice
What are the different forms of the quadratic equation represented in the image?
C=0
B=0
B≠0, C≠0
None of the above
8
9
Multiple Choice
Selesaikan x^2 - 4x + 3 = 0
x = 1
x = 2
x = 3
x = 4
10
11
Multiple Choice
Tentukan himpunan penyelesaian dari persamaan kuadrat x² - 6x + 5 = 0.
{5}
{1}
{5,1}
{0}
12
13
14
Multiple Choice
What is the formula for the roots of the quadratic equation ax² + bx + c = 0?
x = -b ± √(b² - 4ac) / 2a
x = -b ± √(b² + 4ac) / 2a
x = -b ± √(b² - 4a) / 2a
x = -b ± √(b² + 4a) / 2a
15
16
Open Ended
Tentukan akar-akar persamaan kuadrat 6x² - 5x + 1 = 0 dengan cara menggunakan rumus kuadrat.
17
Multiple Choice
Apa rumus yang digunakan untuk menentukan akar-akar persamaan kuadrat?
Rumus kuadrat
Rumus abc
Rumus pythagoras
Rumus trigonometri
18
19
Multiple Choice
What is the formula for finding the roots of the quadratic equation ax² + bx + c = 0?
x = -b ± √(b² - 4ac) / 2a
x = -b ± √(b² + 4ac) / 2a
x = -b ± √(b² - 2ac) / 2a
x = -b ± √(b² + 2ac) / 2a
20
21
Multiple Choice
Jenis-jenis Akar Persamaan Kuadrat, jika D>0, maka persamaan kuadrat mempunyai dua akar real yang berbeda. Jika D=0, maka persamaan kuadrat mempunyai dua akar real yang sama atau akar yang sama. Jika D<0, maka persamaan kuadrat mempunyai akar tidak real (imajiner). Apa yang dapat disimpulkan tentang jenis-jenis akar persamaan kuadrat berdasarkan nilai D?
D>0: dua akar real yang berbeda
D=0: dua akar real yang sama
D<0: akar tidak real (imajiner)
Semua di atas
22
23
Multiple Choice
Selidiki jenis akar-akar Persamaan kuadrat dari x²-9=0. Apa nilai D dan apa artinya?
D < 0
D = 0
D > 0
D = 36
24
25
Multiple Choice
What is the formula for the sum of the roots of a quadratic equation?
x1 + x2 = -b/a
x1 + x2 = -b/2a
x1 + x2 = -b/2
x1 + x2 = 2a/b
26
Multiple Choice
Hasil kali akar-akar persamaan suku banyak x4−5x3+5x2+5x−6=0 adalah...
-6
-5
1
5
6
27
28
Multiple Choice
What is the product of the roots of the quadratic equation represented by the formula?
\( \frac{c}{a} \)
\( \frac{b^2 - 4ac}{4a^2} \)
\( \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \)
\( \frac{b^2 + 4ac}{4a^2} \)
29
30
Multiple Choice
Hitunglah nilai ___ dari akar-akar x² - 3x + 4 = 0.
x1 + x2
x1 * x2
x1² + x2²
x1 - x2
31
32
Multiple Choice
What is the quadratic equation expressed in factored form?
(x-x1)(x-x2)=0
x^2 + px + q = 0
x^2 - (x1 + x2)x + x1*x2 = 0
(x-x2)(x-x1)=0
33
34
Multiple Choice
Tentukan persamaan kuadrat yang akar-akarnya 3 dan -2. Jawab: (x - x1)(x - x2) = 0
(x - 3)(x - (-2)) = 0
(x - 3)(x + 2) = 0
x^2 - 3x + 2x - 6 = 0
x^2 - x - 6 = 0
35
36
Multiple Choice
Menyusun Persamaan Kuadrat menggunakan jumlah dan hasil akar. Dengan menggunakan x1 + x2 = -b/a dan x1.x2 = c/a, maka akan diperoleh persamaan: x² - (x1 + x2)x + x1x2 = 0. Apa yang dimaksud dengan x1 dan x2 dalam konteks persamaan kuadrat?
Akar-akar persamaan
Koefisien dari x
Konstanta dalam persamaan
Variabel bebas
37
38
Multiple Choice
Susunlah persamaan kuadrat baru yang akarnya 2 kali akar persamaan 2x² - 3x + 1 = 0.
x² - 3x + 2 = 0
x² - 2x + 1 = 0
x² + 3x + 1 = 0
x² - 4x + 4 = 0
39
40
Multiple Choice
Susunlah persamaan kuadrat baru yang akar-akarnya lebih dari akar-akarnya persamaan x² - 2x + 3 = 0.
x² - 8x + 18 = 0
x² + 2x + 3 = 0
x² - 2x + 3 = 0
x² + 3x + 2 = 0
41
42
Multiple Choice
Diberikan fungsi f(x) = x^2 - 6x - 7. Jika x = -2, berapa nilai f(-2)?
9
-9
0
-7
43
Multiple Choice
Diberikan fungsi f(x) = x^2 - 6x - 7. Jika x = 0, berapa nilai f(0)?
-7
0
7
-6
44
Multiple Choice
Diberikan fungsi f(x) = x^2 - 6x - 7. Apa nilai pembuatan nol dari fungsi f?
7
-1
-2
0
45
46
Multiple Choice
What are the steps to sketch the graph of a quadratic function?
Identify the x-intercepts and y-intercept
Determine the vertex or turning point
Write the equation of the axis of symmetry
All of the above
47
48
Multiple Choice
What are the conditions for the graph of the function f to intersect the x-axis?
D > 0
D = 0
D < 0
None of the above
49
50
Multiple Choice
Titik potong grafik dengan sumbu y diperoleh jika x = 0, sehingga y = a(0)² + b(0) + c = c. Jadi, titik potong grafik dengan sumbu y adalah (0,c).
(0,0)
(0,c)
(c,0)
(a,b)
51
52
Multiple Select
Pilih beberapa nilai x kemudian carilah nilai y nya dengan menstubsititusikan nilai x pada fungsi f. Buat daftar nilai f dalam tabel.
x
y
(x,y)
f
53
54
Multiple Choice
What are the possible positions of the graph of a quadratic function based on the values of a and D?
D > 0
D = 0
D < 0
None of the above
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